I understand everything except for the fact HOW they get the P-Value = .00077666
ID: 3322788 • Letter: I
Question
I understand everything except for the fact HOW they get the P-Value = .00077666. Can anyone tell me how they figured this out with a TI84 calculator?
Thank you!
15. Sleep Do more than 50% of US adults feel theyget enough sleep? According to Gallup's December 2004 Lifestyle poll, 55% of U.S. adults said that that they get enough sleep. The poll was based on a random sample of 1003 U.S. adults. Test an appropriate hypothesis and state your conclusion in the context of the problem. ore) 1003 must be less "thon 10% of oll US odults, also need /O or mee- s.ccesse and £a :lores. Sreeuce s 7.50 A P.So bosed on low p-velvc 4 oo3 T hereis evidence fhab SSSU 2- sleep;s more then So%,Explanation / Answer
Oh! Its easy. He' just converting a 1 tailed Z value into p-value.
So, the p-value is essentially P(Z>3.1646) ( note that the hypothesis is 1 directional , and hence we use 1 sided as p-value)
You can use software or Excel to solve this. I could have used the table, but table will not give you the p-value for exact 3.1646:
On Excel: =1-NORMSDIST(3.1646) = .00077666
Or use this tool at this website to arrive at the same answer:
http://www.socscistatistics.com/pvalues/normaldistribution.aspx
On the TI84 do the following:
Right Tailed z-test:
1) Calculate z_calc (z_test)
2)2nd DISTR
3) Scroll down to normalcdf
4) ENTER
5) Now enter: z_calc, 1000, 0,1)
6) ENTER
7) Output is the P-value